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Finding the Fourth Proportional to 5,954,953.60, 8,932,430.40 and 5,432,406.40

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Solution

The fourth proportional to 5,954,953.60, 8,932,430.40 and 5,432,406.40 is: 8,148,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954,953.60 : 8,932,430.40 = 5,432,406.40 : x
  2. Step 2: Convert to fraction form
    5,954,953.60/8,932,430.40 = 5,432,406.40/x
  3. Step 3: Cross multiply
    5,954,953.60x = 8,932,430.40 × 5,432,406.40
  4. Step 4: Simplify right side
    5,954,953.60x = 48,524,592,072,514.56
  5. Step 5: Solve for x
    x = 48,524,592,072,514.56/5,954,953.60
  6. Step 6: Final answer
    x = 8,148,609.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.